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Finding the Fourth Proportional to 688.61, 950.27 and 378.11

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Solution

The fourth proportional to 688.61, 950.27 and 378.11 is: 521.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.61 : 950.27 = 378.11 : x
  2. Step 2: Convert to fraction form
    688.61/950.27 = 378.11/x
  3. Step 3: Cross multiply
    688.61x = 950.27 × 378.11
  4. Step 4: Simplify right side
    688.61x = 359,299.95
  5. Step 5: Solve for x
    x = 359,299.95/688.61
  6. Step 6: Final answer
    x = 521.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.